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natulia [17]
3 years ago
14

Select the correct answer. Solve the exponential equation for x.

Mathematics
2 answers:
erastova [34]3 years ago
8 0

Answer:

r = -2

Step-by-step explanation:

Hope this helps :)

nirvana33 [79]3 years ago
8 0
R = -2 your welcome
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For each sequence, find the first 4 terms and the 10th term.<br> A) n+5<br> B)2n-1
snow_tiger [21]

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

The first 4 terms are 6, 7, 8, 9 and the 10 th term is 15

(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

5 0
3 years ago
A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and
GrogVix [38]

Answer:

x=6+3\sqrt{2} is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = 12 -2x, height of the box = x

Volume of square box = Area * height = (12-2x)^2 * x

Differentiating the above equation and equating it to zero, we get –  

d/dx ((12-2x)^2 * x)

d/dx{(144 + 4x^2 -48x)*x}= d/dx (144x + 4x^3 -48x^2)

d/dx (144x + 4x^3 -48x^2) = 0

144+8x^2-96X= 0\\18 +X^2-12X = 0

On solving above equation, we get –  

x=6+3\sqrt{2}  \\ x=6-3\sqrt{2}

5 0
3 years ago
Send it quick guys...
Paladinen [302]

Answer:

194

Step-by-step explanation:

Recall 2 rules to solve this easily:

1. (a+b)^2=a^2+2ab+b^2

2. (a-b)^2=a^2-2ab+b^2

<em>Now, if we let a = 7  and  b=4\sqrt{3}, we can say the problem is basically of the form:</em>

(a+b)^2 + (a-b)^2

This can be simplified using the rules:

(a+b)^2 + (a-b)^2\\a^2+2ab+b^2+a^2-2ab+b^2\\2a^2+2b^2

Now we can plug the values of a and b we initially thought of (remember though  \sqrt{x} \sqrt{x} =x):

2a^2+2b^2\\2(7)^2+2(4\sqrt{3})^2\\ 2(49)+2(4\sqrt{3})(4\sqrt{3})\\98+2(4)(4)(\sqrt{3} )(\sqrt{3} )\\98+2(4)(4)(3)\\98+96 \\194

194 is the final answer.

7 0
3 years ago
Given : 2x+8=5x-13; prove x=7
solmaris [256]

Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

7 0
3 years ago
Read 2 more answers
A city has 5 cm of snow on the ground before a snow storm. During the storm, the amount of snow on the ground increases by 2 cm
Lorico [155]
Answer: D
Explain: The one described was B, but the one that changes LESS is D
5 0
2 years ago
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